Back to Calculate distance and midpoint on complex plane — Problem 2 · Task Set 12

Exercises: Calculate Distance and Midpoint on the Complex Plane

Show your work. Express distances as exact values (simplified radicals).

Grade 9·20 problems·~35 min·Common Core Math - HS Number and Quantity·standard·hsn-cn-b-6
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Fluency Practice

1.

Find the distance from z=1+4iz = -1 + 4i to the origin (i.e., to w=0w = 0).

This equals z0=z|z - 0| = |z|. Enter the exact value.